Dating and working with them?

So there's this girl she was really Kean on me we work together I didn't really show any interest at first but the more I got to know her I started to like her more and more as times gone on weve gotten really close we had one date at hers and since she's been so moody with me I don't know ow we're we stand so I asked her a d told her I wanted to give things a go she said it was best to talk in person we still haven't she gets jelous if any other girl talks to me and we always end up falling out I was annoyed and didn't reply to her for a day the next day I said hey and she's now blanking me I don't know what to do and I don't want it to affect work